If the Hair Hasn't Fallen out 17 Days After Laser, is There Any Chance That It Will?

I had my first laser hair removal treatment 17 days ago. The hair on my lip is gone; it fell out almost immediately. But the thick hairs on my chin and neck are holding firm. I've called the office back multiple times and they keep saying, just wait a few days. My hair is very thick and black and I have several dozen hairs. When I shave, you can still see the hair under the skin, especially in daylight and under florescent lighting. Would it hurt to wax? The literature advised against it.